Reverse Chain Rule (i.e. Integration via Substitution)

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  • เผยแพร่เมื่อ 7 ม.ค. 2025

ความคิดเห็น • 57

  • @bowenwangs
    @bowenwangs 4 ปีที่แล้ว +76

    I used my textbook and my mind was spinning, but after watching this video, he cleared this concept up instantly. I'm glad I watched this.

    • @jsgames6843
      @jsgames6843 3 ปีที่แล้ว +6

      yeah the textbook explanation for this is a dumpster fire

  • @manyamishra6883
    @manyamishra6883 4 ปีที่แล้ว +20

    I owe all my knowledge of calculus to Eddie Woo. No one I know teaches it with the details and coherence he does.

  • @theocoley4347
    @theocoley4347 3 ปีที่แล้ว +6

    Amazing how something that others find so difficult to explain can be so easy to this man. Beyond impressed

  • @abdurion9919
    @abdurion9919 4 ปีที่แล้ว +26

    Hello Eddie Woo, I'm just letting you know that you still provide to the world for us
    taking the class in 2020, thank you!

  • @MrBuckethead911
    @MrBuckethead911 4 ปีที่แล้ว +5

    THIS! I cannot stress it enough, how much this video has helped me understand the Substitution rule and come to grips with integrals in general. I love you

  • @sandipbajare4157
    @sandipbajare4157 6 ปีที่แล้ว +10

    Sir, you are really great..........
    Thank you for sharing your knowledge with all of us...............

  • @GodbornNoven
    @GodbornNoven 2 ปีที่แล้ว +5

    as a 14 year old learning calculus, This was. to say the least, extremely helpful. Massive thanks.

  • @appledestroyer6513
    @appledestroyer6513 ปีที่แล้ว

    you are a godsend, please never stop what you do

  • @anilsharma09azaz
    @anilsharma09azaz 4 ปีที่แล้ว +5

    I am very thank ful to god that I know english and have shrap internet and thanks Eddie sir u are guruji(google it)love from india

  • @RandomVideos4U
    @RandomVideos4U 5 ปีที่แล้ว +23

    I love this guy, but somehow the school bell distracted me and I’m not actually ending class, but it made me stop thinking about the maths 😂😂😅

    • @EmpyreanLightASMR
      @EmpyreanLightASMR 2 ปีที่แล้ว

      There was a school bell?! I never noticed 😂 I wondered why he was speeding up at the end

  • @naygoats955
    @naygoats955 9 หลายเดือนก่อน

    On the brink of failing the exam I stopped trying to guess and check and put all of my energy into understanding it and I finally understood it reverse chain technique (rct)

  • @faanzeonlam3219
    @faanzeonlam3219 3 ปีที่แล้ว +1

    thank u, ten times better than my previous teachers did

  • @cakefactoryy
    @cakefactoryy ปีที่แล้ว

    Love the way you teach man!, thank you!

  • @pip3453
    @pip3453 3 ปีที่แล้ว

    eddie woo you have saved me once again

  • @DevulNahar
    @DevulNahar 6 ปีที่แล้ว +2

    really a god gifted teacher!

  • @Pollandland
    @Pollandland 5 ปีที่แล้ว +3

    when he starts talking about "u boundaries not x boundaries" for the definite integral limits, why does "x=1 so u=2" and "x=2 so u=5"? Where do the 2 and 5 come from?

    • @Pollandland
      @Pollandland 5 ปีที่แล้ว +9

      got it, its because he runs the x limit values through what 'u' equals (x^2 plus one) i.e (1^2 +1 = 2) and (2 ^2 +1 = 5). Just in case any one else asks the same question

    • @EmpyreanLightASMR
      @EmpyreanLightASMR 2 ปีที่แล้ว

      @@Pollandland I wondered the same thing for a second and then, like you, "got it" haha.

  • @EmpyreanLightASMR
    @EmpyreanLightASMR 2 ปีที่แล้ว +1

    Are the kids unpacking furniture behind the camera? I never understand why they're making so much noise. My calc class is so quiet compared to this 😂

  • @brianalfred6613
    @brianalfred6613 3 ปีที่แล้ว

    you my friend just helped out with this video a lot of university students XD

  • @sheyhanmarimuthu3658
    @sheyhanmarimuthu3658 4 ปีที่แล้ว +5

    I thought we couldn't treat du/dx as a fraction

    • @alejrandom6592
      @alejrandom6592 4 ปีที่แล้ว +1

      well yes, but actually no...

    • @rhealastname266
      @rhealastname266 4 ปีที่แล้ว +2

      You can treat du/dx as a fraction in certain instances, these instances have been proven to be true, but remember IT IS NOT A FRACTION. It just behaves like one sometimes that's all!

    • @rhealastname266
      @rhealastname266 4 ปีที่แล้ว +2

      @@alejrandom6592 That's calculus :)

    • @EmpyreanLightASMR
      @EmpyreanLightASMR 2 ปีที่แล้ว +2

      Just wait until you get to quantum mechanics. "I thought particles were in only one place at any one time" 😂

  • @jamesgroccia644
    @jamesgroccia644 4 ปีที่แล้ว +1

    So with an indefinite, u have to go back to your x, where with a definite, u can replace your x until you find the numbers.

  • @sheikhsaad2755
    @sheikhsaad2755 ปีที่แล้ว

    how is he not famous!??😩

  • @GASM0N
    @GASM0N 7 ปีที่แล้ว +1

    Thank you! I wish you were my Calc professor....

  • @WarriorSalvation
    @WarriorSalvation 5 ปีที่แล้ว +1

    Very good in my opinion, thanks dude :)

  • @jeremygraham7976
    @jeremygraham7976 5 ปีที่แล้ว

    Awesome teacher

  • @1p_z0
    @1p_z0 14 วันที่ผ่านมา

    شكرًا جزيلاً

  • @quiveryhurdle7175
    @quiveryhurdle7175 3 ปีที่แล้ว

    Why at 4:25 did he say primitive of u^4 why the word primitive?

    • @EmpyreanLightASMR
      @EmpyreanLightASMR 2 ปีที่แล้ว

      they probably say that in australia or something instead of "antiderivative". it kind of makes sense. good catch though, i hadn't noticed haha

  • @rajeevnair4001
    @rajeevnair4001 7 ปีที่แล้ว +1

    nice way of teaching...:)

  • @mq-r3apz291
    @mq-r3apz291 2 ปีที่แล้ว

    What if the x next to it dissapeared?

  • @Stat1onary
    @Stat1onary 6 ปีที่แล้ว +4

    1:19 someone farted

  • @aryanshetty6307
    @aryanshetty6307 4 ปีที่แล้ว

    Thank you so much sir

  • @rudrasaiprasad
    @rudrasaiprasad 6 ปีที่แล้ว +1

    Sir I want know about soln of
    Integration of 1/(5x-3) = ?

  • @joehindley6185
    @joehindley6185 5 ปีที่แล้ว

    this is incredible

  • @racheledwards5086
    @racheledwards5086 7 ปีที่แล้ว

    Thank you! Really helpful video.

  • @FlexThoseMuscles
    @FlexThoseMuscles 2 ปีที่แล้ว

    +1, thanks!!

  • @jaycarter5596
    @jaycarter5596 5 ปีที่แล้ว +1

    My guy

  • @jacksteinberg7617
    @jacksteinberg7617 9 ปีที่แล้ว +1

    Can you make more guitar videos? :)

  • @aaronchaudhary3261
    @aaronchaudhary3261 2 ปีที่แล้ว

    Baller

  • @jamiechaiml
    @jamiechaiml 5 ปีที่แล้ว

    oh my god thanks so much

  • @kanck7909
    @kanck7909 5 ปีที่แล้ว

    sick bruh

  • @甘木-m5r
    @甘木-m5r 6 ปีที่แล้ว +1

    Is this a real class? In what grade ? 😄 I saw one of this with 8 th grade math and now calculus .

    • @jenniferhan6936
      @jenniferhan6936 5 ปีที่แล้ว +1

      he is the maths teacher of my high school and he is actually filming it in a class! so that 's the real class.

  • @henkdevries2002
    @henkdevries2002 4 ปีที่แล้ว

    gg

  • @terumikami6032
    @terumikami6032 5 ปีที่แล้ว +1

    Nice mate, your students were asking dumb questions tho, they in grade 10 or something?

    • @ferhatakbulut6572
      @ferhatakbulut6572 5 ปีที่แล้ว +16

      Dumb questions don't exist, they're there to learn...

  • @khaledragheb6503
    @khaledragheb6503 7 ปีที่แล้ว +7

    made me even more confused ffs

    • @whiterappersworstenemy5773
      @whiterappersworstenemy5773 5 หลายเดือนก่อน

      Yeah. 8 years later and I'd rather just remember all the reverse chain rule functions of integration than do all this.